The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  0  1  6  1  1  1 12  1  1 12 10  1  1  6  1  0  1 10  1  1  1  1  6  1  1  1  1  0  1  1  6  0  0
 0  1  3  6  5  1 12  7  1 10  9  1  0  3  1  6  1  5 15 12  1  9 10  1  1  6  0  1  3  1 10  1  5 15 12  5  1 12  3 15  3  1  0  6  1  1  1
 0  0  8  0  0  0  0  0  0  0  0  8  0  0  8  8  0  8  8  8  8  8  0  8  0  8  8  8  0  8  0  8  0  0  8  0  8  8  8  8  0  8  0  8  0  0  0
 0  0  0  8  0  0  0  0  0  0  8  8  8  8  8  0  8  0  8  0  8  8  0  8  8  0  8  0  0  0  0  8  0  0  0  8  8  8  0  0  8  0  8  8  8  0  8
 0  0  0  0  8  0  0  0  0  8  8  0  0  8  0  8  8  8  0  0  8  8  8  8  0  0  0  8  0  8  8  8  0  0  8  0  8  8  0  0  8  0  0  0  8  0  0
 0  0  0  0  0  8  0  0  8  8  0  0  0  8  8  8  8  0  8  0  0  8  0  8  0  8  8  8  0  0  0  8  8  8  0  0  0  0  8  0  8  0  0  0  8  0  8
 0  0  0  0  0  0  8  0  8  0  0  8  8  8  0  8  8  0  8  8  0  0  8  8  0  0  0  0  8  0  8  8  8  0  8  8  8  8  8  8  0  0  0  8  0  0  0
 0  0  0  0  0  0  0  8  8  8  8  8  0  8  0  0  0  0  8  0  8  8  8  0  0  8  0  0  8  8  0  8  0  8  8  8  8  8  8  8  8  0  8  0  0  8  0

generates a code of length 47 over Z16 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+115x^40+64x^41+312x^42+576x^43+1102x^44+2112x^45+2312x^46+3200x^47+2365x^48+2112x^49+1032x^50+576x^51+344x^52+64x^53+56x^54+25x^56+10x^60+6x^64

The gray image is a code over GF(2) with n=376, k=14 and d=160.
This code was found by Heurico 1.16 in 2.46 seconds.